132757380 has 240 divisors, whose sum is σ = 497629440. Its totient is φ = 28968192.

The previous prime is 132757363. The next prime is 132757393. The reversal of 132757380 is 83757231.

132757380 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 573 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 260566 + ... + 261074.

It is an arithmetic number, because the mean of its divisors is an integer number (2073456).

Almost surely, 2^132757380 is an apocalyptic number.

132757380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132757380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248814720).

132757380 is an abundant number, since it is smaller than the sum of its proper divisors (364872060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132757380 is a wasteful number, since it uses less digits than its factorization.

132757380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 132757380 is about 11522.0388820729. The cubic root of 132757380 is about 510.1362957521.

The spelling of 132757380 in words is "one hundred thirty-two million, seven hundred fifty-seven thousand, three hundred eighty".